On the gravitational field of static and stationary axial symmetric bodies with multi-polar structure

Details On the gravitational field of static and stationary axial symmetric bodies with multi-polar structure On the gravitational field of static and stationary axial symmetric bodies with multi-polar structure

1998-12-03

arxiv.org/abs/gr-qc/9812012v1

Class.Quant.Grav. 16 (1999) 1207-1213

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To be published in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/16/4/010

We give a physical interpretation to the multi-polar Erez-Rozen-Quevedo solution of the Einstein Equations in terms of bars. We find that each multi-pole correspond to the Newtonian potential of a bar with linear density proportional to a Legendre Polynomial. We use this fact to find an integral representation of the $\gamma$ function. These integral representations are used in the context of the inverse scattering method to find solutions associated to one or more rotating bodies each one with their own multi-polar structure.

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